Foundations of Math 3 Unit 18 Worksheet 5 1.

Name:____________________________________ Date:______________________ Period:_____

In rectangle PQRS, PR = 19x – 27 and QS = x + 693. Find the value of x and the length of each diagonal. Justify your answer in words. P Q

S

2.

In quadrilateral ABCD, and . For what value of x is ABCD a rhombus? Justify your answer in words. A

R

D

Use rectangle STUV for questions 5-8 3. If m1 = 30, m2 = _______ 4.

If m6 = 57, m4 = _______

5.

If m8 = 133, m2 = _______

S 6

V

7

2

K 1 8 5

4

3

C

T

U

6.

If m5 = 16, m3 = _______

7.

ABCD is a rectangle. Find the length of each diagonal if AC = 2(x – 3) and BD = x + 5. Justify your work in words.

8. In the figure to the right, line r||s, m<2 = 40º and m<4 = 60º. Find all of the remaining angles. Justify each value in words.

9. In the given rhombus DLMP, DM = 24, mLDO = 43º, and DL = 13. Find each of the following.f Justify each answer in words. a) OM

b) mDOL

c) mDLO

d) DP

D

L O

P

M

10. MATH is a square. M

A

a) If MA = 8, then AT = _____ b) mHST = ______ c) mMAT = ______ d) If HS = 2, then HA = _____ and MT = ______ e) mHMT = ______ H

T

B